%0 Journal Article %T Certain multiple integral relations involving multivariable $ H $-function and general polynomials %A O. P. Garg %A Virendra Kumar %J Tamkang Journal of Mathematics %D 2001 %I Tamkang University %R 10.5556/j.tkjm.32.2001.259-269 %X In this paper, first we obtain a finite integral involving multivariable $ H $-function and general classes of polynomials. Next, with the application of this and a lemma due to Srivastava et al. (1981) we obtain two general multiple integral relations involving the multivariable $ H $-function, general classes of polynomials and two arbitrary function $ f $ and $ g $. Again, by suitably specializing the functions $ f $ and $ g $ occurring in the main integral relations, we have also evaluated multiple integrals which are new and quite general in nature. %U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/340